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Finding the Fourth Proportional to 3,223.82, 4,448.89 and 1,826.57

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Solution

The fourth proportional to 3,223.82, 4,448.89 and 1,826.57 is: 2,520.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.82 : 4,448.89 = 1,826.57 : x
  2. Step 2: Convert to fraction form
    3,223.82/4,448.89 = 1,826.57/x
  3. Step 3: Cross multiply
    3,223.82x = 4,448.89 × 1,826.57
  4. Step 4: Simplify right side
    3,223.82x = 8,126,199.87
  5. Step 5: Solve for x
    x = 8,126,199.87/3,223.82
  6. Step 6: Final answer
    x = 2,520.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.